feat(play-next): show why each game was picked

Each card shows a reason line under the game name. Issue #28.

src/pages/PlayNextPage.jsx

@@ -12,6 +12,7 @@ import GameCover from '../components/GameCover.jsx';
 import FitText from '../components/FitText.jsx';
 import PageContainer from '../components/PageContainer.jsx';
 import {saveGameStatus} from '../utils/backlog.js';
+import {formatDate} from '../utils/format.js';
 import {formatPlaytime} from '../utils/games.js';
 import {request} from '../utils/api.js';
 import useAbortPrevious from '../hooks/useAbortPrevious.js';
@@ -174,6 +175,20 @@ export default function PlayNextPage() {
     );
 }
 
+const reasonText = (reason, t, language) => {
+    if (!reason) return null;
+    if (reason.source === 'SIMILAR') {
+        return t('PLAY_NEXT.REASON.SIMILAR', {
+            name: reason.anchorName ?? `App ${reason.anchorAppid}`,
+            playtime: formatPlaytime(reason.anchorPlaytimeMinutes),
+        });
+    }
+    if (reason.source === 'LONGEST') {
+        return t('PLAY_NEXT.REASON.LONGEST', {date: formatDate(reason.firstSeenAt, language, {dateStyle: 'medium'})});
+    }
+    return t('PLAY_NEXT.REASON.RANDOM');
+};
+
 const emptyKey = (budget, mood) => {
     // With a length limit, waiting for the background check may never help.
     if (mood === 'SPEEDRUN' && !budget.maxMinutes) return 'PLAY_NEXT.EMPTY_SPEEDRUN';
@@ -182,9 +197,10 @@ const emptyKey = (budget, mood) => {
 };
 
 function PickCard({game}) {
-    const {t} = useTranslation();
+    const {t, i18n} = useTranslation();
     const [busy, setBusy] = useState(false);
     const [started, setStarted] = useState(false);
+    const reason = reasonText(game.reason, t, i18n.language);
 
     const startPlaying = async () => {
         setBusy(true);
@@ -214,6 +230,7 @@ function PickCard({game}) {
                 <Link to={`/library/${game.appid}`} className="@container block min-w-0 font-semibold hover:text-primary transition-colors">
                     <FitText text={game.name ?? `App ${game.appid}`}/>
                 </Link>
+                {reason && <p className="text-sm text-muted-foreground">{reason}</p>}
                 <div className="flex flex-wrap items-center gap-2 text-sm text-muted-foreground">
                     {game.timeToBeatMinutes > 0 && (
                         <span className="flex items-center gap-1">